Geometric Algebra for Computer Science

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  • Author : Leo Dorst
  • Publisher : Elsevier
  • Pages : 664 pages
  • ISBN : 0080553109
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Geometric Algebra for Computer Science

Download or Read online Geometric Algebra for Computer Science full in PDF, ePub and kindle. this book written by Leo Dorst and published by Elsevier which was released on 26 July 2010 with total page 664 pages. We cannot guarantee that Geometric Algebra for Computer Science book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA

Geometric Algebra for Computer Science

Geometric Algebra for Computer Science
  • Author : Leo Dorst,Daniel Fontijne,Stephen Mann
  • Publisher : Elsevier
  • Release : 26 July 2010
GET THIS BOOK Geometric Algebra for Computer Science

Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents

Applications of Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering
  • Author : Leo Dorst,Chris Doran,Joan Lasenby
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Applications of Geometric Algebra in Computer Science and Engineering

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in

Foundations of Geometric Algebra Computing

Foundations of Geometric Algebra Computing
  • Author : Dietmar Hildenbrand
  • Publisher : Springer Science & Business Media
  • Release : 31 December 2012
GET THIS BOOK Foundations of Geometric Algebra Computing

The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent

Geometric Algebra Computing

Geometric Algebra Computing
  • Author : Eduardo Bayro-Corrochano,Gerik Scheuermann
  • Publisher : Springer Science & Business Media
  • Release : 19 May 2010
GET THIS BOOK Geometric Algebra Computing

This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.

Guide to Geometric Algebra in Practice

Guide to Geometric Algebra in Practice
  • Author : Leo Dorst,Joan Lasenby
  • Publisher : Springer Science & Business Media
  • Release : 28 August 2011
GET THIS BOOK Guide to Geometric Algebra in Practice

This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for

Geometric Algebra for Computer Graphics

Geometric Algebra for Computer Graphics
  • Author : John Vince
  • Publisher : Springer Science & Business Media
  • Release : 21 April 2008
GET THIS BOOK Geometric Algebra for Computer Graphics

Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions

Geometric Algebra with Applications in Science and Engineering

Geometric Algebra with Applications in Science and Engineering
  • Author : Eduardo Bayro Corrochano,Garret Sobczyk
  • Publisher : Springer Science & Business Media
  • Release : 28 June 2011
GET THIS BOOK Geometric Algebra with Applications in Science and Engineering

The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary

Geometric Algebra with Applications in Science and Engineering

Geometric Algebra with Applications in Science and Engineering
  • Author : Eduardo Bayro Corrochano,Garret Sobczyk
  • Publisher : Birkhäuser
  • Release : 21 October 2012
GET THIS BOOK Geometric Algebra with Applications in Science and Engineering

The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary

Imaginary Mathematics for Computer Science

Imaginary Mathematics for Computer Science
  • Author : John Vince
  • Publisher : Springer
  • Release : 16 August 2018
GET THIS BOOK Imaginary Mathematics for Computer Science

The imaginary unit i = √-1 has been used by mathematicians for nearly five-hundred years, during which time its physical meaning has been a constant challenge. Unfortunately, René Descartes referred to it as “imaginary”, and the use of the term “complex number” compounded the unnecessary mystery associated with this amazing object. Today, i = √-1 has found its way into virtually every branch of mathematics, and is widely employed in physics and science, from solving problems in electrical engineering to quantum field

Geometric Computing with Clifford Algebras

Geometric Computing with Clifford Algebras
  • Author : Gerald Sommer
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOK Geometric Computing with Clifford Algebras

This monograph-like anthology introduces the concepts and framework of Clifford algebra. It provides a rich source of examples of how to work with this formalism. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work shows that Clifford algebra provides a universal and powerful algebraic framework for an elegant

Guide to Geometric Algebra in Practice

Guide to Geometric Algebra in Practice
  • Author : Leo Dorst,Joan Lasenby
  • Publisher : Springer
  • Release : 18 September 2011
GET THIS BOOK Guide to Geometric Algebra in Practice

This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for

Studyguide for Geometric Algebra for Computer Science

Studyguide for Geometric Algebra for Computer Science
  • Author : Cram101 Textbook Reviews
  • Publisher : Cram101
  • Release : 01 May 2013
GET THIS BOOK Studyguide for Geometric Algebra for Computer Science

Never HIGHLIGHT a Book Again Virtually all testable terms, concepts, persons, places, and events are included. Cram101 Textbook Outlines gives all of the outlines, highlights, notes for your textbook with optional online practice tests. Only Cram101 Outlines are Textbook Specific. Cram101 is NOT the Textbook. Accompanys: 9780521673761

Geometric Algebra with Applications in Engineering

Geometric Algebra with Applications in Engineering
  • Author : Christian Perwass
  • Publisher : Springer Science & Business Media
  • Release : 03 December 2008
GET THIS BOOK Geometric Algebra with Applications in Engineering

The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and